A Comparative Analysis of Fractional-Order Gas Dynamics Equations via Analytical Techniques

Shuang-Shuang Zhou, Nehad Ali Shah, Ioannis Dassios, S. Saleem and Kamsing Nonlaopon
Additional contact information
Shuang-Shuang Zhou: College of Science, Hunan City University, Yiyang 413000, China
Nehad Ali Shah: Department of Mechanical Engineering, Sejong University, Seoul 05006, Korea
Ioannis Dassios: AMPSAS, University College Dublin, D04 V1W8 Dublin, Ireland
S. Saleem: Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia
Kamsing Nonlaopon: Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand

Mathematics, 2021, vol. 9, issue 15, 1-15

Abstract: This article introduces two well-known computational techniques for solving the time-fractional system of nonlinear equations of unsteady flow of a polytropic gas. The methods suggested are the modified forms of the variational iteration method and the homotopy perturbation method by the Elzaki transformation. Furthermore, an illustrative scheme is introduced to verify the accuracy of the available techniques. A graphical representation of the exact and derived results is presented to show the reliability of the suggested approaches. It is also shown that the findings of the current methodology are in close harmony with the exact solutions. The comparative solution analysis via graphs also represents the higher reliability and accuracy of the current techniques.

Keywords: Elzaki transform; homotopy perturbation method; variational iteration method; gas dynamic equations; Mittag–Leffler function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/15/1735/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/15/1735/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2021:i:15:p:1735-:d:599597

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().